Graphing piecewise features entails breaking the perform into completely different items, every with its personal equation. These items are outlined over completely different intervals of the unbiased variable, and the graph of the perform is the union of the graphs of the person items.
Piecewise features are sometimes used to mannequin conditions the place the connection between the unbiased and dependent variables adjustments at particular factors. For instance, a piecewise perform might be used to mannequin the price of transport a bundle, the place the associated fee is completely different relying on the load of the bundle. Piecewise features may also be used to mannequin features which are outlined over completely different domains, such because the perform that provides the world of a circle, which is outlined over the area of all constructive numbers.
